Geodesic
On automorphisms of strongly regular graphs with parameters $(243,66,9,21)$
Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 4, pp. 49-59 
A. A. Makhnev; A. A. Tokbaeva. On automorphisms of strongly regular graphs with parameters $(243,66,9,21)$. Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 4, pp. 49-59. http://geodesic.mathdoc.fr/item/VMJ_2010_12_4_a7/
@article{VMJ_2010_12_4_a7,
     author = {A. A. Makhnev and A. A. Tokbaeva},
     title = {On automorphisms of strongly regular graphs with parameters $(243,66,9,21)$},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {49--59},
     year = {2010},
     volume = {12},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2010_12_4_a7/}
}
TY  - JOUR
AU  - A. A. Makhnev
AU  - A. A. Tokbaeva
TI  - On automorphisms of strongly regular graphs with parameters $(243,66,9,21)$
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2010
SP  - 49
EP  - 59
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VMJ_2010_12_4_a7/
LA  - ru
ID  - VMJ_2010_12_4_a7
ER  - 
%0 Journal Article
%A A. A. Makhnev
%A A. A. Tokbaeva
%T On automorphisms of strongly regular graphs with parameters $(243,66,9,21)$
%J Vladikavkazskij matematičeskij žurnal
%D 2010
%P 49-59
%V 12
%N 4
%U http://geodesic.mathdoc.fr/item/VMJ_2010_12_4_a7/
%G ru
%F VMJ_2010_12_4_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

Orders and fixed-point subgraphs of automorphisms of strongly regular graphs with parameters $(243,66,9,21)$ are found. These results will be useful for investigations of automorphisms of strongly regular graphs with parameters $(640,243,66,108)$ (in such graph neighborhoods of vertices are strongly regular with parameters $(243,66,9,21)$).

[1] Zhurtov A. Kh., Makhnev A. A., Nirova M. S., “Ob avtomorfizmakh $4$-izoregulyarnykh grafov”, Tr. Instituta matematiki i mekhaniki, 16, no. 3, 2010, 78–87

[2] Cameron P., Van Lint J., Designs, graphs, codes and their links, London Math. Soc. Stud., 22, Cambr. Univ. Press, Cambridge, 1981, 240 pp. | MR | Zbl

[3] Brouwer A., Van Lint J., “Strongly regular graphs and partial geometries”, Enumeration and Designe, eds. M. Jackson, S. Vanstone, Academic Press, Toronto, ON, 1984, 85–122 | MR | Zbl

[4] Macay M., Siran J., “Search for properties of the missing Moore graph”, Linear Algebra and its Appl., 432 (2009), 2381–2398 | MR

[5] Cameron P., Permutation Groups, London Math. Soc. Stud., 45, Cambr. Univ. Press, Cambridge, 1999, 220 pp. | MR | Zbl